Tiffany had 75 more buttons than Erika. After Tiffany gave away
25 of her buttons and Erika gave away
34 of her buttons, Erika had 101 less buttons than Tiffany. How many buttons did Tiffany have in the end?
| |
Tiffany |
Erika |
Comparing Tiffany and
Erika in the end |
75 more |
|
| Before |
5x4 |
+ 75 |
4x5 |
| Change |
- 2x4 |
- 30 |
- 3x5 |
| After |
3x4 |
+ 45 |
1x5 |
Comparing Tiffany and
Erika in the end |
|
101 less |
| |
Tiffany |
Erika |
| Before |
20 u + 75 |
20 u |
| Change |
- 8 u - 30 |
- 15 u |
| After |
12 u + 45 |
5 u |
25 x 75 = 30
75 - 30 = 45
Erika had 101 less buttons than Tiffany in the end. So, if Erika had another 101 buttons in the end, the number of buttons that Erika and Tiffany each had would be the same.
12 u + 45 = 5 u + 101
12 u - 5 u = 101 - 45
7 u = 56
1 u = 56 ÷ 7 = 8
Number of buttons that Tiffany had in the end
= 12 u + 45
= 12 x 8 + 45
= 96 + 45
= 141
Answer(s): 141
